146841306480 has 480 divisors, whose sum is σ = 557396199360. Its totient is φ = 34332672000.

The previous prime is 146841306463. The next prime is 146841306529. The reversal of 146841306480 is 84603148641.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28897540 + ... + 28902620.

It is an arithmetic number, because the mean of its divisors is an integer number (1161242082).

Almost surely, 2^146841306480 is an apocalyptic number.

146841306480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146841306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278698099680).

146841306480 is an abundant number, since it is smaller than the sum of its proper divisors (410554892880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146841306480 is a wasteful number, since it uses less digits than its factorization.

146841306480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 146841306480 in words is "one hundred forty-six billion, eight hundred forty-one million, three hundred six thousand, four hundred eighty".